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The momentum measurement capability of the ATLAS muon spectrometer reliesfundamentally on the intrinsic single-hit spatial resolution of the monitoreddrift tube precision tracking chambers. Optimal resolution is achieved with adedicated calibration program that addresses the specific operating conditionsof the 354000 high-pressure drift tubes in the spectrometer. The calibrationsconsist of a set of timing offsets and drift time to drift distance transferrelations, and result in chamber resolution functions. This paper describesnovel algorithms to obtain precision calibrations from data collected by ATLASin LHC Run 2 and from a gas monitoring chamber, deployed in a dedicated gasfacility. The algorithm output consists of a pair of correction constants perchamber which are applied to baseline calibrations, and determined to be validfor the entire ATLAS Run 2. The final single-hit spatial resolution, averagedover 1172 monitored drift tube chambers, is $81.7 \pm 2.2 \mu$m.

Resolution of the ATLAS muon spectrometer monitored drift tubes in LHC Run 2